Asymptotic behaviour of time-varying and non-linear differential-difference equations†
Asymptotic behaviour of time-varying and non-linear differential-difference equations†
复制标题
时变非线性微分方程的渐近行为†
DOI：
10.1080/00207177108932017
复制
发表时间：
1971
期刊：
影响因子：
--
通讯作者：
E. Noldus
中科院分区：
文献类型：
--
作者：
E. Noldus
研究了由时变或非线性微分差分方程描述的反馈系统的渐近性态。利用函数空间中与路径无关的线积分形式的李雅普诺夫泛函得到了频域准则。他们构成了一个扩展的分布卷积方程的著名结果常微分方程。
The asymptotic behaviour is studied of feedback systems which are described by time-varying or nonlinear differential-difference equations. Frequency-domain criteria are obtained using Liapunov functionals which are denned as path-independent line integrals in function space. They constitute an extension to distributional convolution equations of well-known results for ordinary differential equations.